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Finding the Fourth Proportional to 846.64, 1,167.96 and 551.44

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Solution

The fourth proportional to 846.64, 1,167.96 and 551.44 is: 760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.64 : 1,167.96 = 551.44 : x
  2. Step 2: Convert to fraction form
    846.64/1,167.96 = 551.44/x
  3. Step 3: Cross multiply
    846.64x = 1,167.96 × 551.44
  4. Step 4: Simplify right side
    846.64x = 644,059.86
  5. Step 5: Solve for x
    x = 644,059.86/846.64
  6. Step 6: Final answer
    x = 760.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.